On the smoothness of convex envelopes
暂无分享,去创建一个
We examine differentiability properties of the convex envelope conv E of a given function E: Rn __ (-cc, cc] in terms of properties of E. It is shown that C1 as well as optimal C1'a regularity results, 0 < a < 1 can be obtained under general conditions.
[1] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[2] J. Stoer,et al. Convexity and Optimization in Finite Dimensions I , 1970 .
[3] R. Temam,et al. Analyse convexe et problèmes variationnels , 1974 .
[4] Klaus Glashoff,et al. Linear Optimization and Approximation , 1983 .
[5] Champs hamiltoniens, relaxation et existence de solutions en calcul des variations , 1987 .